90685000 has 80 divisors (see below), whose sum is σ = 242922240. Its totient is φ = 31080000.

The previous prime is 90684991. The next prime is 90685027. The reversal of 90685000 is 58609.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 90685000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33705 + ... + 36295.

It is an arithmetic number, because the mean of its divisors is an integer number (3036528).

Almost surely, 2^90685000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90685000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121461120).

90685000 is an abundant number, since it is smaller than the sum of its proper divisors (152237240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90685000 is a wasteful number, since it uses less digits than its factorization.

90685000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 90685000 is about 9522.8672152876. The cubic root of 90685000 is about 449.2745512912.

The spelling of 90685000 in words is "ninety million, six hundred eighty-five thousand".